What you did to start the car simply bypassed the ignition switch. Normally, the ignition switch would send power to the wire attached to the phillips head screw terminal on the starter, so you can safely assume that there is a problem somewhere between the ignition switch and the starter. Use a test light on that same screw to determine if any power is going to the terminal. Clip the alligator clip to the negative battery terminal and then hold the probe end of the test light on the screw. Have an assistant hold the key in the start position, if the test light does not light, you do not have any power from the ignition switch, if the light does come on, you probably have a partially broken wire in the circuit or high resistance in the switch. In this case you could show power at the terminal, but there would not be enough current flow to energize the starter solenoid. You might find the source of the problem in this case by having someone in the car hold the switch in the start position while you wiggle all the wiring you can find. If you wiggle something and the car cranks, you know you have isolated the problem. I am assuming of course that prior to this you have checked or replaced all the fuses in the starter circuit. I hope this helps you.